WHAT DO GRAPHS TELL US? 

3rd year of secondary education 


1.
OTHER THINGS ABOUT GRAPHS 

In this window there is a graph. You can move point A using the mouse to obtain the necessary information you need to complete the activities that accompany this window. 


1. Copy
the graph into your exercise book making sure you include all the
information that appears in the window. 2. Draw
up a table of values from X = 0 to X = 12 which
includes all the corresponding information for 20 values of x, including the
information given for the white lines shown in the graph. 3. In the window different phases of the graph are labeled with different terms: constant, increasing and decreasing. Label the unnamed phases of the graph in your exercise book with the correct term. Look at the information you obtained in the last activity and try to write a definition for these terms. 4. Two points on the graph have been labeled with the terms MAXIMUM and minimum. Use the window and information obtained earlier to help you write a definition of these terms. 
5. Imagine that the graph in the window represents a cross section of one of the legs of the Cycling race around Spain! Try to describe the route in as much detail as possible. Then, try to sketch the corresponding graph of the speed of one of the cyclists during this leg of the race. 
2. AN ECONOMIC QUESTION 

This
window shows the change
in profits
made by a pharmaceutical company over a twelve month period. Each white point
on the Xaxis
represents the last day of each month. 


6.
Copy
the graph into your exercise book and 7. Draw up a table of values which reflects the change in profits made by the company in the monthly balance calculated at the end of each month. Indicate the maximum and minimum points on the graph too. 
8. The
company has 45 million euros (€) capital on the 1st January. Draw up a table
of values which shows the amount of capital available at the end of each
month. 
3.
ADAPTING A CIRCUIT 

This window illustrates different speeds reached by a motorcyclist during the third lap of a race. The motorcyclist is trying out a new motorbike for the next 500 cc World Championship. The start coincides with the origin of the graph. 




11.Use
the graph
and information obtained to help you to sketch the outline
of the circuit where the trial takes place. Explain your reasons for drawing
the shape
of you have drawn. 
4.
A BIT OF METEOROLOGY 

This
window illustrates the temperature of a meteorological observatory measured by
a thermometer over a 24 hour period. 


12. Copy
the graph into your exercise book and label the increase
and decrease intervals. 13. Draw
up a table
of values
which shows the temperature every hour. 14. Use
your observations to answer the following questions in your exercise book: a. What is the maximum
temperature? What is the minimum
temperature? b. Between which two times was the greatest increase in temperature (indicate the value)? And the biggest decrease? c. If
we know that
the observatory is located in a town on the east cost of Spain what time of year
does the data correspond to? Explain your answer. 




















Josep Mª Navarro Canut 


Spanish Ministry of Education. Year 2001 



Except where otherwise noted, this work is licensed under a Creative Common License